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A theoretical formulation of dilatation/contraction for continuum modelling of granular flows
Shi, Huabin1; Dong, Ping2; Yu, Xiping3; Zhou, Yan2
2021-04
Source PublicationJournal of Fluid Mechanics
ISSN0022-1120
Volume916
Abstract

Shear dilatation/contraction of granular materials has long been recognized as an important process in granular flows but a comprehensive theoretical description of this process for a wide range of shear rates is not yet available. In this paper, a theoretical formulation of dilatation/contraction is proposed for continuum modelling of granular flows, in which the dilatation/contraction effects consist of a frictional component, which results from the rearrangement of enduring-contact force chains among particles, and a collisional component, which arises from inter-grain collisions. In this formulation, a frictional solid pressure, which considers the rearrangement of contact force chains under shear deformation, is proposed for the frictional dilatation/contraction, while well-established rheological laws are adopted for the collisional inter-grain pressure to account for the collisional dilatancy effect. The proposed formulation is first verified analytically by describing the shear-weakening behaviour of granular samples in a torsional shear rheometer and by capturing the incipient failure of both dry and immersed granular slopes. The proposed dilatation/contraction formulation is then further validated numerically by integrating it into a two-fluid continuum model and applying the model to study the collapse of submerged granular columns, in which the dilatation/contraction plays a critical role.

KeywordGranular Media Particle/fluid Flow Sediment Transport
DOI10.1017/jfm.2021.249
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
WOS IDWOS:000641479700001
Scopus ID2-s2.0-85113242015
Fulltext Access
FWCI1.967056
Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
THE STATE KEY LABORATORY OF INTERNET OF THINGS FOR SMART CITY (UNIVERSITY OF MACAU)
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Corresponding AuthorShi, Huabin
Affiliation1.State Key Laboratory of Internet of Things for Smart City, Department of Civil and Environmental Engineering, University of Macau, Taipa, Avenida da Universidade, Macao
2.School of Engineering, University of Liverpool, Brownlow Hill,Liverpool, L69 3GH, United Kingdom
3.State Key Laboratory of Hydroscience and Engineering, Department of Hydraulic Engineering, Tsinghua University, Beijing, 100084, China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Shi, Huabin,Dong, Ping,Yu, Xiping,et al. A theoretical formulation of dilatation/contraction for continuum modelling of granular flows[J]. Journal of Fluid Mechanics,2021,916.
APA Shi, Huabin,Dong, Ping,Yu, Xiping,&Zhou, Yan.(2021).A theoretical formulation of dilatation/contraction for continuum modelling of granular flows.Journal of Fluid Mechanics,916.
MLA Shi, Huabin,et al."A theoretical formulation of dilatation/contraction for continuum modelling of granular flows".Journal of Fluid Mechanics 916(2021).
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